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20052223104 = 273671375689
BaseRepresentation
bin10010101011001101…
…001010010010000000
31220202110210110212210
4102223031022102000
5312031332114404
613113432422120
71306625040564
oct225315122200
956673713783
1020052223104
11855aa59011
123a77547940
131b77460b94
14d831db6a4
157c5634689
hex4ab34a480

20052223104 has 128 divisors (see below), whose sum is σ = 54462859200. Its totient is φ = 6535102464.

The previous prime is 20052223073. The next prime is 20052223127. The reversal of 20052223104 is 40132225002.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3521892 + ... + 3527580.

Almost surely, 220052223104 is an apocalyptic number.

20052223104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20052223104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27231429600).

20052223104 is an abundant number, since it is smaller than the sum of its proper divisors (34410636096).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20052223104 is a wasteful number, since it uses less digits than its factorization.

20052223104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5910 (or 5898 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 20052223104 its reverse (40132225002), we get a palindrome (60184448106).

The spelling of 20052223104 in words is "twenty billion, fifty-two million, two hundred twenty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 128 134 137 192 201 268 274 384 402 411 536 548 804 822 1072 1096 1608 1644 2144 2192 3216 3288 4288 4384 5689 6432 6576 8576 8768 9179 11378 12864 13152 17067 17536 18358 22756 25728 26304 27537 34134 36716 45512 52608 55074 68268 73432 91024 110148 136536 146864 182048 220296 273072 293728 364096 381163 440592 546144 587456 728192 762326 779393 881184 1092288 1143489 1174912 1524652 1558786 1762368 2184576 2286978 2338179 3049304 3117572 3524736 4573956 4676358 6098608 6235144 9147912 9352716 12197216 12470288 18295824 18705432 24394432 24940576 36591648 37410864 48788864 49881152 52219331 73183296 74821728 99762304 104438662 146366592 149643456 156657993 208877324 299286912 313315986 417754648 626631972 835509296 1253263944 1671018592 2506527888 3342037184 5013055776 6684074368 10026111552 20052223104